Too Many Triangles?

How many equilateral triangles can you make by joining the dots with straight lines on this equilateral triangular lattice of perimeter length 6?

Details and Assumptions:

  • Assume the dots are in a perfect equilateral triangular lattice. My image is slightly stretched.

  • The Two Triangles in the above image are both valid examples of unique Equilateral Triangles.


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